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EXISTENCE AND CONVERGENCE THEOREMS FOR EVOLUTIONARY HEMIVARIATIONAL INEQUALITIES OF SECOND ORDER

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成果类型:
期刊论文
作者:
Peng, Zijia*;Xiao, Cuie
通讯作者:
Peng, Zijia
作者机构:
[Peng, Zijia] Guangxi Univ Nationalities, Guangxi Key Lab Univ Optimizat Control & Engn Cal, Nanning 530006, Guangxi, Peoples R China.
[Peng, Zijia] Guangxi Univ Nationalities, Sch Sci, Nanning 530006, Guangxi, Peoples R China.
[Xiao, Cuie] Hunan City Univ, Dept Math & Computat Sci, Yiyang 413000, Hunan, Peoples R China.
通讯机构:
[Peng, Zijia] G
Guangxi Univ Nationalities, Guangxi Key Lab Univ Optimizat Control & Engn Cal, Nanning 530006, Guangxi, Peoples R China.
语种:
英文
关键词:
Clarke's generalized gradient;Hemivariational inequality;Nonlinear evolution inclusion;Pseudomonotone operator;Rothe method
期刊:
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN:
1072-6691
年:
2015
卷:
2015
基金类别:
National Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11426071]; Guangxi Natural Science FoundationNational Natural Science Foundation of Guangxi Province [2014GXNSFBA118001]; Project of Guangxi Education Department [2013YB067]; Natural Science Foundation of the Department of Education of Hunan Province [13A013]
机构署名:
本校为其他机构
院系归属:
理学院
摘要:
This article concerns with a class of evolutionary hemivariational inequalities in the framework of evolution triple. Based on the Rothe method, monotonicity-compactness technique and the properties of Clarke's generalized derivative and gradient, the existence and convergence theorems to these problems are established. The main idea in the proof is using the time difference to construct the approximate problems. The work generalizes the existence results on evolution ...

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